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mf_newforms • Show schema
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{'Nk2': 5292, 'analytic_conductor': 10.564208187415394, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [1323, 3, [785, 1081], [1, 3]], 'cm_discs': [], 'conrey_index': 442, 'dim': 6, 'field_disc': -309123, 'field_disc_factorization': [[-1, 1], [3, 3], [107, 2]], 'field_poly': [3, -12, 19, -15, 10, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 4, 17, -2, 5, 1, 1]], [5, [121, 22, 59, -32, 23, -5, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007542885680427, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1323.2.f.c', 'level': 1323, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '63.2.f.b', 'nf_label': '6.0.309123.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\beta _{1}-\\beta _{5})q^{2}+(-1+\\beta _{2}+\\beta _{4}+\\beta _{5})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1323.2.f', 'trace_display': [-1, 0, 5, 0], 'trace_hash': 1313644989177397563, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.743', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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-18, -18, -13, -9], [-2, 0, -23, 0, 2, -28], [0, -1, 16, 16, 6, 1], [0, 26, 0, 0, 36, -26], [-50, -10, 0, -1, 0, 0], [0, 18, -12, -12, 23, -18], [-31, 0, 8, 0, 31, -22], [-7, -1, 0, 22, 0, 0], [12, -19, 0, -20, 0, 0]], 'char_orbit_index': 6, 'field_poly': [3, -12, 19, -15, 10, -3, 1], 'hecke_orbit_code': 9007542885680427, 'hecke_ring_character_values': [[785, [-1, 0, 0, 0, 1, 0]], [1081, [1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3, 1, 3, 3], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [2, 1, -2, -1, -1, -2], [-4, 4, -2, -1, -1, -2], [-10, 1, 4, 2, 5, 7], [5, -17, 10, 8, 11, 16], [47, -23, -5, 5, -16, -14]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [2, -1, 1, 0, 0, 0], [6, -18, 5, -8, 1, -1], [3, -5, 6, -2, 1, 0], [9, -21, 19, -16, 5, -2], [-9, 30, -22, 19, -5, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '1323.2.f.c', 'level': 1323, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 5292, 'analytic_conductor': 10.564208187415394, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [1323, 3, [785, 1081], [1, 3]], 'conrey_index': 442, 'cusp_dim': 288, 'dim': 72, 'eis_dim': 96, 'eis_new_dim': 20, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 343630939435, 'hecke_orbit_dims': [2, 2, 6, 6, 10, 10, 12, 24], 'label': '1323.2.f', 'level': 1323, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 384, 'mf_new_dim': 92, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 36, 'sturm_bound': 336, 'trace_bound': 5, 'trace_display': [-2, 0, 2, 0], 'traces': [72, -2, 0, -30, 2, 0, 0, 24, 0, 0, -6, 0, 0, 0, 0, -18, -12, 0, 12, 22, 0, -12, -16, 0, -18, -8, 0, 0, 0, 0, -6, -26, 0, 6, 0, 0, 12, -14, 0, 12, 22, 0, -12, 44, 0, 0, 6, 0, 0, 18, 0, -18, -16, 0, 12, 0, 0, -18, 12, 0, 0, -96, 0, -24, -24, 0, -12, -12, 0, 0, 60, 0, 36, 22, 0, -6, 0, 0, 0, -8, 0, 0, 30, 0, 18, -58, 0, -6, 20, 0, 0, 4, 0, 6, 26, 0, 0, 0, 0, 12, 34, 0, -24, 66, 0, 30, -52, 0, 0, -38, 0, 0, -26, 0, -18, -72, 0, -36, 0, 0, 18, -2, 0, -30, -48, 0, -48, -124, 0, 42, -4, 0, 0, -60, 0, -12, 70, 0, 18, 0, 0, -18, -52, 0, -72, 66, 0, -30, -28, 0, 24, 72, 0, 0, -112, 0, 6, 46, 0, 6, 0, 0, -24, 20, 0, 6, 20, 0, 30, 372, 0, 144, -50, 0, 0, 34, 0, 60, 144, 0, -36, 0, 0, -18, 36, 0, 42, -156, 0, 36, 10, 0, -18, -54, 0, 0, 124, 0, 0, 14, 0, -18, 0, 0, 12, 44, 0, 108, 20, 0, -6, -24, 0, -66, 16, 0, 0, 58, 0, -48, 20, 0, 0, 0, 0, 24, 36, 0, 36, 54, 0, -132, 40, 0, -48, -18, 0, 0, -32, 0, -36, -148, 0, 24, 0, 0, -6, -24, 0, -18, -28, 0, -60, 14, 0, 18, -20, 0, 0, -188, 0, 36, -2, 0, -6, 0, 0, 6, -120, 0, 36, 12, 0, 24, -126, 0, 0, 132, 0, 0, 12, 0, 30, 132, 0, -60, 0, 0, -60, -62, 0, -102, 16, 0, 30, -12, 0, -24, 48, 0, 0, -198, 0, 18, -116, 0, 60, 0, 0, -12, 66, 0, -24, -116, 0, -108, -52, 0, 36, -34, 0, 0, -72, 0, -96, -158, 0, 42, 0, 0, 78, 48, 0, -216, 20, 0, 18, 64, 0, 132, 36, 0, 0, 38, 0, 36, -54, 0, 60, 0, 0, 168, 44, 0, 48, 16, 0, 12, 76, 0, -72, 16, 0, 0, -62, 0, 54, -268, 0, 84, 0, 0, 96, -42, 0, 108, 128, 0, -36, -6, 0, -12, 42, 0, 0, -68, 0, -12, 88, 0, 24, 0, 0, 90, -68, 0, 156, 42, 0, -30, 168, 0, -24, -52, 0, 0, 2, 0, -60, -6, 0, -12, 0, 0, -36, 8, 0, 78, -12, 0, -36, 100, 0, -168, 12, 0, 0, 210, 0, -90, 24, 0, 0, 0, 0, -18, 36, 0, 0, 36, 0, 144, 8, 0, -54, 40, 0, 0, 460, 0, -48, -68, 0, -30, 0, 0, -66, 320, 0, 60, -74, 0, 84, -208, 0, 36, -180, 0, 0, 224, 0, 42, -210, 0, -24, 0, 0, -144, 22, 0, -54, -34, 0, 138, -276, 0, -96, 0, 0, 0, -28, 0, 30, 400, 0, -96, 0, 0, -42, -96, 0, -114, -36, 0, -24, 100, 0, 204, -8, 0, 0, 188, 0, -96, -92, 0, -60, 0, 0, -18, -168, 0, -216, 22, 0, -18, 154, 0, 156, -108, 0, 0, -130, 0, 30, 58, 0, 42, 0, 0, -108, -104, 0, 48, -102, 0, 18, -416, 0, 372, 62, 0, 0, 232, 0, 90, 40, 0, -36, 0, 0, -18, -22, 0, 72, 136, 0, -60, -144, 0, 0, 64, 0, 0, -276, 0, 96, 234, 0, -12, 0, 0, -72, 0, 0, 228, -130, 0, -30, 76, 0, -246, 60, 0, 0, -388, 0, -6, -112, 0, -54, 0, 0, 144, 52, 0, 24, -28, 0, -36, 196, 0, -156, -26, 0, 0, 58, 0, -36, 752, 0, 0, 0, 0, 96, -22, 0, -66, 24, 0, -36, 314, 0, -114, 102, 0, 0, -500, 0, 84, -48, 0, -72, 0, 0, -60, -68, 0, -24, -70, 0, 72, 68, 0, 24, -76, 0, 0, -46, 0, -12, 46, 0, -30, 0, 0, 48, -122, 0, -204, -10, 0, 120, -128, 0, -324, -24, 0, 0, -116, 0, -54, -196, 0, -48, 0, 0, -66, 60, 0, -102, 332, 0, 48, 256, 0, 126, 4, 0, 0, 92, 0, 108, 136, 0, 66, 0, 0, 12, 180, 0, -348, -18, 0, -84, -138, 0, 60, -168, 0, 0, 252, 0, 114, 224, 0, 18, 0, 0, -312, 24, 0, 72, -48, 0, -108, -448, 0, 276, 6, 0, 0, -228, 0, 54, -68, 0, 60, 0, 0, 84, 6, 0, 162, 208, 0, 72, -402, 0, -222, -24, 0, 0, -376, 0, 72, -386, 0, 84, 0, 0, 96, -56, 0, 156, -162, 0, -60, 180, 0, -84, -84, 0, 0, 8, 0, -30, -312, 0, 108, 0, 0, -180, -72, 0, 156, -142, 0, -42, -288, 0, -240, 84, 0, 0, 74, 0, -36, -240, 0, 72, 0, 0, 30, -4, 0, 54, 56, 0, 12, 184, 0, -60, -96, 0, 0, 256, 0, -108, 100, 0, 30, 0, 0, -72, -20, 0, 180, -4, 0, 96, 286, 0, 30, 192, 0, 0, 350, 0, -66, 26, 0, -6, 0, 0, -36, 104, 0, -108, -94, 0, 84, 724, 0, 24, 4, 0, 0, 156, 0, -42, -728, 0, -72, 0, 0, -48, -174, 0, -144, 228, 0, 216, 124, 0, 66, 76, 0, 0, 984, 0, -108, 104, 0, 42, 0, 0, -198, 72, 0, -192, -70, 0, 54, -162, 0, 30, -12, 0, 0, 116, 0, 6, -270, 0, 30, 0, 0, 96, -48, 0, 102, -108, 0, 36, -768, 0, 504, -68, 0, 0, 214, 0, -24, 340, 0, -84, 0, 0, -30, 142, 0, 54, 168, 0, 324, 194, 0, -24, 32, 0, 0, -44, 0, 48, 232, 0, -114, 0, 0, 150, 72, 0, 336, -56, 0, -78, 78, 0, -186, -204, 0, 0, -164, 0, -78, 266, 0, -48, 0, 0, 648, -72, 0, 84, -36, 0, 90, -584, 0, -252, 54, 0, 0, 154, 0, -72, -132, 0, -24], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 707232
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '63.2.f.b', 'target_level': 63, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 707233
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '63.2.f.b', 'target_level': 63, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 707234
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '189.2.f.a', 'target_level': 189, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 707235
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '189.2.f.a', 'target_level': 189, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
-
id: 707236
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '441.2.f.d', 'target_level': 441, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 707237
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '441.2.f.d', 'target_level': 441, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 707238
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '441.2.g.d', 'target_level': 441, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 707239
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '441.2.g.d', 'target_level': 441, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 707240
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '441.2.g.e', 'target_level': 441, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
-
id: 707241
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '441.2.g.e', 'target_level': 441, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
-
id: 707242
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '441.2.h.b', 'target_level': 441, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 707243
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '441.2.h.b', 'target_level': 441, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 707244
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '441.2.h.c', 'target_level': 441, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 707245
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '441.2.h.c', 'target_level': 441, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 707246
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '567.2.a.d', 'target_level': 567, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 707247
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '567.2.a.g', 'target_level': 567, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 707248
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 18, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1008.2.r.k', 'target_level': 1008, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 707249
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 18, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1008.2.r.k', 'target_level': 1008, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '252.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 707250
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1323.2.f.c', 'target_level': 1323, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 707251
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1323.2.f.c', 'target_level': 1323, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 707252
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1323.2.g.b', 'target_level': 1323, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 707253
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1323.2.g.b', 'target_level': 1323, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 707254
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1323.2.g.c', 'target_level': 1323, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 707255
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1323.2.g.c', 'target_level': 1323, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 707256
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1323.2.h.d', 'target_level': 1323, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 707257
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1323.2.h.d', 'target_level': 1323, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 707258
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1323.2.h.e', 'target_level': 1323, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 707259
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1323.2.h.e', 'target_level': 1323, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 707260
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 18, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3024.2.r.g', 'target_level': 3024, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 707261
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 18, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3024.2.r.g', 'target_level': 3024, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '252.bi', 'twisting_char_orbit': 35, 'weight': 2}
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id: 707262
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3969.2.a.m', 'target_level': 3969, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 707263
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3969.2.a.p', 'target_level': 3969, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 707264
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '9072.2.a.bq', 'target_level': 9072, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '252.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 707265
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1323.2.f.c', 'source_level': 1323, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 56, 'target_is_minimal': False, 'target_label': '9072.2.a.cd', 'target_level': 9072, 'twist_class_label': '63.2.f.b', 'twist_class_level': 63, 'twisting_char_label': '252.bi', 'twisting_char_orbit': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1862725
{'charpoly_factorization': [[[1, 4, 17, -2, 5, 1, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 2}
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id: 1862726
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007542885680427, 'p': 3}
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id: 1862727
{'charpoly_factorization': [[[121, 22, 59, -32, 23, -5, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 5}
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id: 1862728
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007542885680427, 'p': 7}
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id: 1862729
{'charpoly_factorization': [[[2209, 893, 455, 56, 23, 2, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 11}
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id: 1862730
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 9007542885680427, 'p': 13}
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id: 1862731
{'charpoly_factorization': [[[27, 39, 12, 1], 2]], 'hecke_orbit_code': 9007542885680427, 'p': 17}
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id: 1862732
{'charpoly_factorization': [[[7, -6, -3, 1], 2]], 'hecke_orbit_code': 9007542885680427, 'p': 19}
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id: 1862733
{'charpoly_factorization': [[[81, 297, 1089, 18, 33, 0, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 23}
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id: 1862734
{'charpoly_factorization': [[[1, -4, 17, 2, 5, -1, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 29}
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id: 1862735
{'charpoly_factorization': [[[729, -648, 495, -126, 33, 3, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 31}
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id: 1862736
{'charpoly_factorization': [[[81, -54, 3, 1], 2]], 'hecke_orbit_code': 9007542885680427, 'p': 37}
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id: 1862737
{'charpoly_factorization': [[[124609, -54715, 16259, -2704, 329, -22, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 41}
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id: 1862738
{'charpoly_factorization': [[[14641, 7986, 3993, 440, 75, -3, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 43}
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id: 1862739
{'charpoly_factorization': [[[35721, -10206, 4617, 108, 135, -9, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 47}
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id: 1862740
{'charpoly_factorization': [[[-9, 75, -18, 1], 2]], 'hecke_orbit_code': 9007542885680427, 'p': 53}
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id: 1862741
{'charpoly_factorization': [[[3969, -378, 603, -72, 87, -9, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 59}
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id: 1862742
{'charpoly_factorization': [[[4489, 1407, 843, 8, 57, 6, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 61}
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id: 1862743
{'charpoly_factorization': [[[466489, 141381, 42849, 1366, 207, 0, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 67}
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id: 1862744
{'charpoly_factorization': [[[-81, -6, 9, 1], 2]], 'hecke_orbit_code': 9007542885680427, 'p': 71}
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id: 1862745
{'charpoly_factorization': [[[243, -168, 3, 1], 2]], 'hecke_orbit_code': 9007542885680427, 'p': 73}
-
id: 1862746
{'charpoly_factorization': [[[591361, 36912, 13839, 818, 273, 15, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 79}
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id: 1862747
{'charpoly_factorization': [[[729, -1053, 1197, -414, 105, -12, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 83}
-
id: 1862748
{'charpoly_factorization': [[[379, -151, 2, 1], 2]], 'hecke_orbit_code': 9007542885680427, 'p': 89}
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id: 1862749
{'charpoly_factorization': [[[363609, -68742, 14805, -864, 123, -3, 1], 1]], 'hecke_orbit_code': 9007542885680427, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 3, 'label': '1323.2.f.c', 'level': 1323, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 30701719
{'hecke_orbit_code': 9007542885680427, 'n': 1, 'trace_an': 6}
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id: 30701720
{'hecke_orbit_code': 9007542885680427, 'n': 2, 'trace_an': -1}
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id: 30701721
{'hecke_orbit_code': 9007542885680427, 'n': 3, 'trace_an': 0}
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id: 30701722
{'hecke_orbit_code': 9007542885680427, 'n': 4, 'trace_an': -3}
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id: 30701723
{'hecke_orbit_code': 9007542885680427, 'n': 5, 'trace_an': 5}
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id: 30701724
{'hecke_orbit_code': 9007542885680427, 'n': 6, 'trace_an': 0}
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id: 30701725
{'hecke_orbit_code': 9007542885680427, 'n': 7, 'trace_an': 0}
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id: 30701726
{'hecke_orbit_code': 9007542885680427, 'n': 8, 'trace_an': 12}
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id: 30701727
{'hecke_orbit_code': 9007542885680427, 'n': 9, 'trace_an': 0}
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id: 30701728
{'hecke_orbit_code': 9007542885680427, 'n': 10, 'trace_an': 0}
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id: 30701729
{'hecke_orbit_code': 9007542885680427, 'n': 11, 'trace_an': -2}
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id: 30701730
{'hecke_orbit_code': 9007542885680427, 'n': 12, 'trace_an': 0}
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id: 30701731
{'hecke_orbit_code': 9007542885680427, 'n': 13, 'trace_an': 3}
-
id: 30701732
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